GH: There is no logical nexus except that the Shulchan Aruch mentions (quoting the Kol Bo) that for the Yomim Noraim it is preferable. (581:1 and Mishna Berurah sif koton Yud Gimmel)
https://mishnaberurayomi.org/pdf_pages/Chelek_6/1580_Siman_581_Seif_1c-2a.pdf
And yes, all things being equal one should choose a talmud chachom who is not married. But to this kehilla having someone married is important to them.